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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 594, page id 779782283:0680
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594.
PAISIC _ TRACFA ZYS IL.
0. 45el Tcomenca, axium, BA, CA, dinum C A, DC; id est re guadea-
Fab. 2. DA, linc applicacE BF, CH, DL; ea applicatarum CA, DC; Ced vi
BA cA 2dC A, vE quadratum BF.
ad quadrarum CH; icemque ad
DA, ve quadracum BE, ad quade2-
Eig. 46. eum DL; pari modo in Ag, 46. TIE
Eab. 2. vexcex parabolae E, Segmenta axis
DE, LF, CF; applicata verd DC,
LK, CA; CCKEODC, eA ad LF, vE
guadratum DC, 2d quadrarum LR;
de ad CF, ve quadearum DC, 2d
quadracum CA: hoc (uPPONO CX
geomerria, aur cerre li ageomerra
es, luppone cancum hanc hguram
CR A, quae ducatur per extremica-
ces illarum applicararum, quarum
quadrata sine re predicta axis segme-
enta: pracerea cooniraratione appli-
catx ad Ceomencuaris, inde cognol-
quadracum CA, ad quadracum DC.
cicur ditferentia veriulque, ve Patet.
ita distanicia E C, ad FD, FeC NUM. 2.
igicur eadem est racio distantiacum,
Terrio, Suppono, parabolicum
planum ACC, este Cublelquialre-
rum rectanguli CF; quod mulei
Maccenus demonstrarune, inter quos
Foricellus plures modos huius
Theoremaris demonstrandi doctis-
sime expoluic, eso modum Facilem
peopolui eract. L. l. 2. in quo eriam ha-
ec relictentiarum; Ced momenta,
Cune ve relistentiae, permucando,
Des proporriones omnium Fructoru
ve jam cencies dictum est; igieur
momentum aduersus balim D∞, C2-
plani parabolici ACE, _ AFF.
tione distantiae CA VEF. D; satione
FelICtCMEIA VE FC; momencum re
Fd aduertuS Ba(IM AC, catione di-
quas consule, ne reperere me c08a5.
Ouaero, hoc polco. Cc planum
parabolicum ACE, cuius applicato
AC, sic muro 2ffixa; sa habeatur
cancum ratio ponderis appensi, in
Fi momenca Pune aqualia, aduersis
omnes bales, hoc Fuse Galileus de-
Aantix es VE F. C, eatione relisten-
nonstrar; ego brenirer, e Facilé
denoncro; sinr bales CA, DC
EIX VEFD; vides aequalicatem ra-
tionis compolice, nempe rectan-
outa TubFC, DG, ec (UbDO, EC.
anomentum aduersus CA, est ad
momencum eiu ldem ponderis, ad-
sunt aequaliz: vis calculos; AEDC,
Cubdupla DEI; resictencia Cune in
ratione =. permuta =. distancia
vero in ratione =. igirus compo-
Sica eric +. vides aequalicatis rario-
nem; isicur habira cantum rarione
ponderis appensi, in P, momenta
adversus bases DC, C A, Tuneaequa
lia; idem de aliis balibus demon-
versus DC, in rarione compolica
resistenciarum, permucando, de
Strari porest; igieur pondus appen-
Cum in F, Facit ae quale momencum,
distanciarum, non permucando;
in Cingulis basibus.
Ouinco, si habeatur rancum ea-
eio ponderis proprii; CItEA OINE
pondus appentum, momenea aduer-
CuS dinertas BaleS, TAINE VE rectan
gula, lub basibus, ec distanciis,
vel sub applicaris, et Cagieris; v. 8.
sincbales, vel applicata, C A, DC3
sine vero distaneia, vel lagieca, LC,
ED; dico momentum, aduersus
Bali C A, CNsC ad momencum, 2d-
versus balim DC, ve rectangulum
CF, quod est (aB CE, CA, ad re-
ctangulum DH, quod eAt (ubDF
DC; quod Facile probo; quia que
mmadmodum parabola AE C est Cab
Sesquialcera rectansuli, P A, ica pa-
reliscencia sune, in duplicora adviru rabola P.HL., est sublelquialtera
rectomsula